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Finding the Third Proportional to 201,691 and 429,877

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Solution

The third proportional to 201,691 and 429,877 is: 916,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,691 : 429,877 = 429,877 : x
  2. Step 2: Convert to fraction form
    201,691/429,877 = 429,877/x
  3. Step 3: Cross multiply
    201,691x = 429,877 × 429,877
  4. Step 4: Simplify right side
    201,691x = 184,794,235,129
  5. Step 5: Solve for x
    x = 184,794,235,129/201,691
  6. Step 6: Final answer
    x = 916,224.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.